A fast decaying solution to the modified Novikov-Veselov equation with a one-point singularity

DOI10.1134/S1064562415010111zbMath1325.35198arXiv1408.4723OpenAlexW2963960716MaRDI QIDQ2353057

Iskander A. Taimanov

Publication date: 7 July 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4723

zbMATH Keywords

regularitymodified Novikov-Veselov equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (3)

On numerical study of the discrete spectrum of a two-dimensional Schrödinger operator with soliton potential ⋮ Darboux-Moutard transformations and Poincaré-Steklov operators ⋮ Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces

Cites Work

• Two-dimensional rational solitons and their blowup via the Moutard transformation
• Veselov-Novikov equation as a natural two-dimensional generalization of the Korteweg-de Vries equation
• The Moutard transformation of two-dimensional Dirac operators and Möbius geometry
• Two-dimensional Dirac operator and the theory of surfaces
• Blowing up solutions of the Novikov-Veselov equation
• Unnamed Item

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